Physicists prefer to use hermitian operators, while mathematicians are not biased towards hermitian operators What's reputation and how do i get it What is the fundamental group of the special orthogonal group $so (n)$, $n>2$
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The answer usually given is
I have known the data of $\\pi_m(so(n))$ from this table
The question really is that simple Prove that the manifold $so(n) \\subset gl(n, \\mathbb{r})$ is connected It is very easy to see that the elements of $so(n)$ are. The generators of $so(n)$ are pure imaginary antisymmetric $n \\times n$ matrices
U(n) and so(n) are quite important groups in physics I thought i would find this with an easy google search What is the lie algebra and lie bracket of the two groups? I'm not aware of another natural geometric object.
Yes but $\mathbb r^ {n^2}$ is connected so the only clopen subsets are $\mathbb r^ {n^2}$ and $\emptyset$
In case this is the correct solution Why does the probability change when the father specifies the birthday of a son A lot of answers/posts stated that the statement does matter) what i mean is It is clear that (in case he has a son) his son is born on some day of the week.
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